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Finding the Fourth Proportional to 422,164.62, 633,242.96 and 182,448.01

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Solution

The fourth proportional to 422,164.62, 633,242.96 and 182,448.01 is: 273,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,164.62 : 633,242.96 = 182,448.01 : x
  2. Step 2: Convert to fraction form
    422,164.62/633,242.96 = 182,448.01/x
  3. Step 3: Cross multiply
    422,164.62x = 633,242.96 × 182,448.01
  4. Step 4: Simplify right side
    422,164.62x = 115,533,916,816.78
  5. Step 5: Solve for x
    x = 115,533,916,816.78/422,164.62
  6. Step 6: Final answer
    x = 273,670.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.